Question

The market price of the computer is₹22000.After after allowing a 10% discount adealer still make a profit of 20%. find the cost price of a computer.

Answer 1

Answer:

The market price of the computer is Rs 22000

After 10% discount, its cost be

= Rs [22000 - (22000 × 10%)]

= Rs [22000 - (22000 × 10/100)]

= Rs (22000 - 2200)

= Rs 19800

Let us take the cost price of the computer be Rs x

The dealer made a profit of 20%

Then, its selling price was

= Rs [x + (x × 20%)]

= Rs [x + (x × 20/100)]

= Rs (x + x/5)

= Rs (6x/5)

By the given condition,

6x/5 = 19800

→ x = 19800 × 5/6

→ x = 16500

∴ the cost price of the.computer is Rs 16500

Answer 2

S O L U T I O N :

$\bf{\large{\underline{\bf{Given\::}}}}}$

• Marked price (M.P.) = Rs.22000
• Discount (D) = 10%
• Profit of dealer = 20%

$\bf{\large{\underline{\bf{To\:find\::}}}}}$

The cost price of a computer.

$\bf{\large{\underline{\bf{Explanation\::}}}}}$

$\bigstar$ Firstly, we know that formula of the discount :

$\boxed{\bf{Discount=\frac{Discount\%}{100} \times M.P.}}}}}$

$\longrightarrow\tt{Discount=\dfrac{10}{\cancel{100}} \times 220\cancel{00}}\\\\\\\longrightarrow\tt{Discount=Rs.(10\times 220)}\\\\\\\longrightarrow\bf{Discount=Rs.2200}$

$\bigstar$ Secondly,we know that formula of the Selling price :

$\boxed{\bf{Selling\:price\:(S.P.)=Marked\:price-Discount}}}}$

$\longrightarrow\tt{S.P.=Rs.22000-Rs.2200}\\\\\longrightarrow\bf{S.P.=Rs.19800}$

Now;

$\bigstar$ Thirdly, Using formula of the Cost price :

$\longrightarrow\tt{Cost\:price=\dfrac{Sellin\:price}{\bigg[1+\dfrac{Profit\%}{100} \bigg]} }\\\\\\\longrightarrow\tt{Cost\:price=\dfrac{19800}{\bigg[1+\dfrac{2\cancel{0}}{10\cancel{0}} \bigg]}} \\\\\\\longrightarrow\tt{Cost\:price=\dfrac{19800}{\bigg[1+\dfrac{2}{10}\bigg] } }\\\\\\\longrightarrow\tt{Cost\:price=\dfrac{19800}{\dfrac{10+2}{10} } }\\\\\\\longrightarrow\tt{Cost\:price=\dfrac{19800}{\dfrac{12}{10} } }\\\\\\\longrightarrow\tt{Cost\:price=\dfrac{19800\times 10}{12} }$

$\longrightarrow\tt{Cost\:price=\cancel{\dfrac{198000}{12} }}\\\\\\\longrightarrow\bf{Cost\:price=Rs.16500}$

Thus;

The cost price (C.P.) of a computer will be Rs.16500 .